The electrical conductivity of QGP becomes an important quantity, which controls the decay profile [1]}. So present work has explored its existing numerical values, calculated from different microscopic models and their corresponding effective relaxation time scales. We have guidance on the shear relaxation time scale (\(\tau _c\) ) from the experimental direction, which is expected to be close to its lower bound \(\tau _c=5/(4\pi T)\)  (for massless QGP) as shear viscosity (\(\eta \) ) to entropy density (\(s\) ) ratio of QGP is experimentally expected to be close to its quantum lower bound \(\eta /s=1/(4\pi )\) . Present work has tried to explore the numerical bands of the electric charge relaxation time scale in terms of the lower bound of shear relaxation time.
